The diagram shows a metal sphere (radius a) moving with speed v parallel to a straight wire

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The diagram shows a metal sphere (radius a) moving with speed v parallel to a straight wire which carries a current I . The distance between the wire and the center of the sphere is d >> a.

(a) Explain qualitatively why there is an attractive force between the wire and the sphere.

(b) Show that the dependence of the force on dimensional quantities is 

A conducting sphere with radius a develops a dipole moment p = 4π 0a3E in a field E.

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